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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 798 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹305 in all. What does one pencil cost (in ₹)?
  2. 2.4 × ? + 3 = 71
  3. 3.A pen costs ₹9 more than a pencil. 6 pens and 7 pencils cost ₹301 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 6(x + 6) = 3x + 93. What is x?
  5. 5.11 × ? − 5 = 17
  6. 6.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  7. 7.Farhan has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  8. 8.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  10. 10.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 8 and then take away 2. The answer is 190. What is my number?
  12. 12.I think of a number, multiply it by 4 and then take away 2. The answer is 78. What is my number?
  13. 13.4 × ? + 20 = 120
  14. 14.I think of a number, multiply it by 5 and then take away 8. The answer is 32. What is my number?
  15. 15.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  16. 16.8 × ? + 3 = 51
  17. 17.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 7 and then add 31. The answer is 94. What is my number?
  20. 20.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  22. 22.Solve for x: 3(x + 8) = 2x + 25. What is x?
  23. 23.I think of a number, multiply it by 7 and then add 2. The answer is 156. What is my number?
  24. 24.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  25. 25.10 × ? − 22 = 138
  26. 26.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 3 and then add 27. The answer is 108. What is my number?
  28. 28.I think of a number, multiply it by 7 and then add 2. The answer is 37. What is my number?
  29. 29.4 × ? − 1 = 79
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 2 and then add 24. The answer is 70. What is my number?
  32. 32.I think of a number, multiply it by 5 and then take away 21. The answer is 74. What is my number?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 2 and then take away 17. The answer is 13. What is my number?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 4 and then add 30. The answer is 90. What is my number?
  37. 37.I think of a number, multiply it by 4 and then add 2. The answer is 10. What is my number?
  38. 38.10 × ? + 11 = 181
  39. 39.I think of a number, multiply it by 8 and then add 22. The answer is 254. What is my number?
  40. 40.Solve for x: 4(x + 3) = 3x + 27. What is x?

Answer key

  1. 17
  2. 17
  3. 19
  4. 19
  5. 2
  6. 7
  7. 27
  8. 26
  9. 23
  10. 18
  11. 24
  12. 20
  13. 25
  14. 8
  15. 15
  16. 6
  17. 16
  18. 7
  19. 9
  20. 8
  21. 19
  22. 1
  23. 22
  24. 5
  25. 16
  26. 1
  27. 27
  28. 5
  29. 20
  30. 6
  31. 23
  32. 19
  33. 3
  34. 15
  35. 4
  36. 15
  37. 2
  38. 17
  39. 29
  40. 15

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